-Symmetry breaking: an algebraic approach to finding mean fields of quantum many-body systems
arXiv:1504.08113 · doi:10.1103/PhysRevA.94.013613
Abstract
One of the most fundamental problems in quantum many-body systems is the identification of a mean field in spontaneous symmetry breaking which is usually made in a heuristic manner. We propose a systematic method of finding a mean field based on the Lie algebra and the dynamical symmetry by introducing a class of symmetry broken phases which we call -symmetry breaking. We show that for -symmetry breaking the quadratic part of an effective Lagrangian of Nambu-Goldstone modes can be block-diagonalized and that homotopy groups of topological excitations can be calculated systematically.
23 pages, 1 figure
References in corpus (16)
- Color superconductivity in dense quark matter
- An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Degenerate Fermi Gases of Ytterbium
- Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
- The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Spin-orbital quantum liquid on the honeycomb lattice
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- On the number of Nambu-Goldstone bosons and its relation to charge densities
- Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
- Superfluidity and magnetism in multicomponent ultracold fermions
- Exact Diagonalization of Heisenberg SU(N) models
- Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
- Dynamical symmetry in spinor Bose-Einstein condensates